We cannot know that exactly - and no one has ever claimed that we can or shown that is it necessary when investigating general trends that do not have that level of detailed resolution in their frequency distributions (this is not specific to temperature or climate science - it applies to all signal processing and frequency-time domain studies in all scientific fields).
Young is correct. Model forecasts (if this is what you are implying) have never been used as evidence in identifying normal from anthropogenic warming. As i have repeatedly pointed out, model forecasts of temperature are not valid scientific evidence because they do not exist in the real world.
The evidence for the CO2 effect comes form models that exclusively use existing observational data. This is accomplished by building models based on the full set of data. Models are then built using subsets of the full record and these are used to estimate the values that were not included in that subset. Various model validation test procedures are the run to evaluate model fit.
When the known natural forcing variables that drive temperature are used, the models fail to adequately account for (i.e., explain) the observed variance. Introducing atmospheric CO2 data as a variable better reconstructs the behavior of the observational data. This is not whimsical, since we have a priori knowledge from physics and chemistry that CO2 is a significant variable.
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Jim z –
>>Gary and Young suggest it is hindcast but the models that predict catastrophic or significant warming don't work in retrospect. <<
The question concerns how to partition total warming into natural and anthropogenic components; therefore, model predictions are not relevant.
Which models “that predict catastrophic or significant warming don't work in retrospect – and what is the definition of catastrophic?
Although there are exceptions, most models do work in “retrospect.” They work not only for global temperature, they have successfully predicted regional differences such as increased arctic and night warming, stratospheric cooling, and even environmental effects from warming such as those observed in some biotic communities.
http://www.sciencedaily.com/releases/2013/08/130822105042.htm
http://www2.ucar.edu/atmosnews/just-published/12313/progress-decadal-climate-prediction
http://news.berkeley.edu/2012/06/12/hindcasting-helps-scientists-improve-forecasts-for-life-on-earth/
http://ceoas.oregonstate.edu/people/files/jones/gutierrez-illan_et_al_gcb_14.pdf
Also, models just as frequently underestimate observations, as is the case with the decrease in arctic ice.
http://www.copenhagendiagnosis.com/